Finite Group Databasebeta

← #8345827

Subgroups — #8345827

Order 512.

5556 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59129C212yesmaximal, complemented
2#59003C212yesmaximal, complemented
3#58996C212yesmaximal, complemented
4#57213C212yesmaximal, complemented
5#56661C212yesmaximal, complemented
6#55052C214yesmaximal, complemented
7#54983C214yesmaximal, complemented
8#54949C214yesmaximal, complemented
9#53000C212yesmaximal, complemented
10#52966C212yesmaximal, complemented
11#52244C211yesmaximal, characteristic, complemented
12#49376C214yesmaximal, complemented
13#48454C214yesmaximal, complemented
14#45593C212yesmaximal, complemented
15#45194C212yesmaximal, complemented
16#44241C212yesmaximal, complemented
17#42961C211yesmaximal, characteristic, complemented
18#42883C211yesmaximal, characteristic, complemented
19#42858C212yesmaximal, complemented
20#42483C212yesmaximal, complemented
21#40948C214yesmaximal, complemented
22#39888C212yesmaximal, complemented
23#39212C212yesmaximal, complemented
24#39059C212yesmaximal, complemented
25#37683C212yesmaximal, complemented
26#37450C211yesmaximal, characteristic, complemented
27#36029C211yesmaximal, characteristic, complemented
28#35704C211yesmaximal, characteristic, complemented
29#35633C211yesmaximal, characteristic, complemented
30C2×#550C2212yescomplemented
31C2×#550C2211yescharacteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×#548C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×#536C2211yescharacteristic, complemented
37C2×#532C2212yescomplemented
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×#121C2212yes—
41C2×#520C2211yescharacteristic, complemented
42#2854C2212yescomplemented
43#2850C2212yescomplemented
44#2832C2212yescomplemented
45#2830C2214yescomplemented
46#2828C2214yescomplemented
47#2825C2214yescomplemented
48#2825C2214yescomplemented
49#2815C2212yes—
50#2815C2212yes—
51#2815C2214yescomplemented
52#2815C2212yescomplemented
53#2813C2214yescomplemented
54#2812C2214yescomplemented
55#2800C2214yescomplemented
56#2797C2214yescomplemented
57#2797C2214yescomplemented
58#2787C2212yescomplemented
59#2784C2212yescomplemented
60#2784C2214yescomplemented
61#2780C2214yescomplemented
62#2779C2214yescomplemented
63#2778C2214yescomplemented
64#2777C2214yescomplemented
65#2772C2214yescomplemented
66#2771C2211yescharacteristic, complemented
67#2770C2214yescomplemented
68#2760C2211yescharacteristic, complemented
69#2760C2212yescomplemented
70#2757C2214yescomplemented
71#2756C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2752C2212yescomplemented
75#2750C2212yescomplemented
76#2750C2212yescomplemented
77#2749C2214yescomplemented
78#2740C2214yescomplemented
79#2739C2214yescomplemented
80#2736C2211yescharacteristic
81#2733C2212yescomplemented
82#2730C2214yescomplemented
83#2728C2212yescomplemented
84#2708C2212yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2701C2214yescomplemented
91#2699C2214yescomplemented
92#2697C2212yes—
93#2693C2214yescomplemented
94#2688C2214yescomplemented
95#2682C2214yescomplemented
96#2682C2214yescomplemented
97#2681C2214yes—
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2676C2214yes—
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2671C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2668C2211yescharacteristic
114#2668C2214yescomplemented
115#2657C2212yescomplemented
116#2653C2214yescomplemented
117#2652C2214yescomplemented
118#2649C2214yescomplemented
119#2648C2214yescomplemented
120#2644C2212yescomplemented
121#2635C2214yescomplemented
122#2635C2212yescomplemented
123#2630C2214yescomplemented
124#2619C2212yes—
125#2619C2211yescharacteristic
126#2619C2211yescharacteristic
127#2619C2212yescomplemented
128#2617C2214yes—
129#2617C2214yes—
130#2617C2214yescomplemented
131#2615C2214yescomplemented
132#2602C2214yescomplemented
133#2602C2214yescomplemented
134#2600C2212yescomplemented
135#2595C2214yescomplemented
136#2592C2212yescomplemented
137#2591C2212yescomplemented
138#2581C2211yescharacteristic, complemented
139#2578C2214yescomplemented
140#2576C2214yescomplemented
141#2572C2212yescomplemented
142#2548C2212yescomplemented
143#2548C2211yescharacteristic, complemented
144#2545C2212yescomplemented
145#2544C2212yescomplemented
146#2541C2212yes—
147#2541C2211yescharacteristic, complemented
148#2541C2212yescomplemented
149#2540C2212yes—
150#2535C2211yescharacteristic, complemented
151#2535C2214yescomplemented
152#2535C2212yescomplemented
153#2534C2212yes—
154#2534C2212yes—
155#2534C2214yescomplemented
156#2518C2214yescomplemented
157#2518C2214yescomplemented
158#2514C2212yescomplemented
159#2508C2212yescomplemented
160#2504C2212yes—
161#2504C2212yes—
162#2495C2212yescomplemented
163#2494C2214yescomplemented
164#2486C2212yescomplemented
165#2486C2212yescomplemented
166#2476C2214yescomplemented
167#2472C2214yescomplemented
168#2464C2214yescomplemented
169#2464C2214yescomplemented
170#2463C2214yescomplemented
171#2463C2214yescomplemented
172#2457C2214yescomplemented
173#2456C2214yes—
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yescomplemented
178#2448C2212yescomplemented
179#2447C2212yescomplemented
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2443C2214yescomplemented
183#2437C2214yescomplemented
184#2436C2212yescomplemented
185#2435C2212yescomplemented
186#2433C2212yes—
187#2433C2214yes—
188#2433C2212yes—
189#2433C2212yescomplemented
190#2432C2212yescomplemented
191#2431C2212yescomplemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2429C2212yescomplemented
195#2429C2212yescomplemented
196#2428C2212yes—
197#2428C2214yes—
198#2428C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2214yescomplemented
202#2427C2212yes—
203#2427C2212yescomplemented
204#2427C2212yescomplemented
205#2426C2212yes—
206#2426C2212yes—
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2421C2212yescomplemented
211#2420C2214yescomplemented
212#2417C2212yescomplemented
213#2417C2214yescomplemented
214#2416C2214yescomplemented
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2214yescomplemented
218#2415C2214yescomplemented
219#2414C2212yescomplemented
220#2410C2214yes—
221#2410C2214yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yescomplemented
225#2406C2212yescomplemented
226#2404C2214yescomplemented
227#2403C2212yes—
228#2403C2212yes—
229#2401C2212yescomplemented
230#2398C2212yescomplemented
231#2396C2211yescharacteristic, complemented
232#2392C2211yescharacteristic, complemented
233#2392C2212yescomplemented
234#2388C2212yescomplemented
235#2380C2214yescomplemented
236#2367C2212yescomplemented
237#2363C2212yescomplemented
238#2361C2212yescomplemented
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2358C2214yescomplemented
242#2358C2214yescomplemented
243#2357C2211yescharacteristic, complemented
244#2351C2211yescharacteristic, complemented
245#2341C2212yescomplemented
246D4×C22⋊C4C2214yes—
247#2333C2214yescomplemented
248#2327C2212yescomplemented
249#2321C2214yescomplemented
250#2319C2212yescomplemented
251#2316C2211yescharacteristic, complemented
252#2310C2211yescharacteristic, complemented
253C4×#123C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#120C2212yes—
257#2290C2212yescomplemented
258#2280C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2314yes—
266C24×C4C2311yescharacteristic
267#550—44no—
268#550—48no—
269#550—44no—
270#548—48no—
271#546—48no—
272#546—48no—
273#536—44no—
274#532—48no—
275C2×C4⋊Q8C2312yes—
276C2×#127C2312yes—
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2314yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2314yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290#525—44no—
291C2×#123C2314yes—
292C2×#123C2312yes—
293C2×#123C2312yes—
294C2×#123C2312yes—
295C2×#123C2312yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×C22⋊Q8—44no—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×#121—48no—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2312yes—
340C2×#120C2312yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346#520—44no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C42C2312yes—
383#401C2312yes—
384#401C2314yes—
385#400C2311yescharacteristic
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#399C2311yescharacteristic
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2311yescharacteristic
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2312yes—
418#397C2311yescharacteristic
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#395C2312yes—
442#395C2311yescharacteristic
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2311yescharacteristic
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2311yescharacteristic
486#393C2312yes—
487#392C2312yes—
488#392C2312yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2311yescharacteristic
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#383C2314yes—
670#383C2314yes—
671#382C2312yes—
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2314yes—
676#381C2312yes—
677#381C2312yes—
678#381C2314yes—
679#381C2314yes—
680#381C2312yes—
681#381C2312yes—
682#381C2311yescharacteristic
683#381C2311yescharacteristic
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#379C2314yes—
698#379C2312yes—
699#379C2314yes—
700#379C2311yescharacteristic
701#379C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723#376C2312yes—
724C25C2411yescharacteristic
725C25C2414yes—
726C2×#41—24no—
727C2×#41—28no—
728C2×#41—24no—
729C2×#41—44no—
730C2×#41—42no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—84no—
737C22×Q8—24no—
738C22×Q8—42no—
739C22×Q8—42no—
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—84no—
750C22×D4C2411yescharacteristic
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C23×C4—24no—
780C23×C4—42no—
781C23×C4—42no—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C4⋊Q8—28no—
800#127—44no—
801#127—42no—
802#127—42no—
803#127—44no—
804#127—44no—
805#127—44no—
806#127—48no—
807#127—48no—
808#124—28no—
809#124—44no—
810#124—44no—
811#124—44no—
812#124—44no—
813#124—48no—
814#123—48no—
815#123—44no—
816#123—48no—
817#123—44no—
818#123—44no—
819#123—44no—
820#123—84no—
821#123—84no—
822#123—84no—
823C22⋊Q8—28no—
824C22⋊Q8—28no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830#121—28no—
831#121—28no—
832#121—28no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—44no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—44no—
842#121—48no—
843#121—48no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—48no—
849#121—44no—
850#121—48no—
851#121—48no—
852#121—84no—
853#121—84no—
854#121—84no—
855#121—84no—
856#121—84no—
857#120—44no—
858#120—48no—
859#120—48no—
860#120—44no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—84no—
865#120—84no—
866#120—84no—
867C4×Q8—24no—
868C4×Q8—42no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×D4—28no—
873C4×D4—24no—
874C4×D4—28no—
875C4×D4—44no—
876C4×D4—42no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—42no—
882C4×D4—44no—
883C4×D4—48no—
884C4×D4—48no—
885C4×D4—48no—
886C4×D4—48no—
887C4×D4—48no—
888C4×D4—84no—
889C4×D4—84no—
890#117—42no—
891#117—42no—
892#117—44no—
893#117—42no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C22⋊C4—48no—
937C2×C22⋊C4—44no—
938C2×C22⋊C4—48no—
939C2×C22⋊C4—48no—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C42—44no—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2411yescharacteristic
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2414yes—
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080C24—22no—
1081C24—24no—
1082C24—28no—
1083C24—41no—
1084C24—42no—
1085C24—44no—
1086C24—41no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24C2514yes—
1093C24C2514yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2511yescharacteristic
1097C24C2512yes—
1098#41—416no—
1099#41—816no—
1100#41—816no—
1101#41—816no—
1102C2×Q8—22no—
1103C2×Q8—22no—
1104C2×Q8—24no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—24no—
1108C2×Q8—41no—
1109C2×Q8—42no—
1110C2×Q8—42no—
1111C2×Q8—42no—
1112C2×Q8—88no—
1113C2×Q8H(5,𝔽2)14yes—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—41no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—816no—
1197C2×D4—832no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—41no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—88no—
1246C22×C4H(5,𝔽2)14yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—41no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4H(5,𝔽2)14yes—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—41no—
1333C22⋊C4—42no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—24no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—24no—
1406C23—24no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—22no—
1413C23—24no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—22no—
1422C23—24no—
1423C23—24no—
1424C23—22no—
1425C23—22no—
1426C23—24no—
1427C23—24no—
1428C23—24no—
1429C23—24no—
1430C23—24no—
1431C23—48no—
1432C23—44no—
1433C23—82no—
1434C23—84no—
1435C23—88no—
1436C23—88no—
1437C23—88no—
1438C23—82no—
1439C23—88no—
1440C23—88no—
1441C23—164no—
1442C23—164no—
1443C23C2×H(5,𝔽2)12yes—
1444C23#58514yes—
1445C23C2611yescharacteristic
1446Q8—28no—
1447Q8—44no—
1448Q8—48no—
1449Q8—84no—
1450D4—48no—
1451D4—416no—
1452D4—48no—
1453D4—48no—
1454D4—44no—
1455D4—88no—
1456D4—88no—
1457D4—84no—
1458D4—84no—
1459D4—88no—
1460D4—84no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464D4—82no—
1465D4—84no—
1466D4—88no—
1467D4—88no—
1468D4—88no—
1469D4—88no—
1470D4—88no—
1471D4—88no—
1472D4—84no—
1473D4—164no—
1474D4—162no—
1475D4—162no—
1476D4—164no—
1477D4—164no—
1478D4—164no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—28no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—48no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—88no—
1543C2×C4—84no—
1544C2×C4—88no—
1545C2×C4—82no—
1546C2×C4—84no—
1547C2×C4—84no—
1548C2×C4—84no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4—162no—
1552C2×C4—164no—
1553C2×C4C2×H(5,𝔽2)14yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)14yes—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C22—22no—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—24no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—44no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—44no—
1579C22—42no—
1580C22—44no—
1581C22—42no—
1582C22—44no—
1583C22—42no—
1584C22—42no—
1585C22—44no—
1586C22—44no—
1587C22—44no—
1588C22—44no—
1589C22—44no—
1590C22—44no—
1591C22—44no—
1592C22—44no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—44no—
1597C22—88no—
1598C22—1616no—
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×H(5,𝔽2)11yescharacteristic
1601C22C22×H(5,𝔽2)11yescharacteristic
1602C22C2×#58512yes—
1603C22H(7,𝔽2)12yes—
1604C4—22no—
1605C4—24no—
1606C4—24no—
1607C4—42no—
1608C4—42no—
1609C4—44no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—42no—
1614C4—41no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4—44no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4#353714yes—
1627C2—42no—
1628C2—44no—
1629C2—82no—
1630C2—82no—
1631C2—84no—
1632C2—84no—
1633C2C2×#353711yescharacteristic
1634C2#6289912yes—
1635C2#6292412yes—
1636C2#6302011yescharacteristic
1637C2#6304111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59129C2semidirect
2. #59003C2semidirect
3. #58996C2semidirect
4. #57213C2semidirect
5. #56661C2semidirect
6. #55052C2semidirect
7. #54983C2semidirect
8. #54949C2semidirect
9. #53000C2semidirect
10. #52966C2semidirect
11. #52244C2semidirect
12. #49376C2semidirect
13. #48454C2semidirect
14. #45593C2semidirect
15. #45194C2semidirect
16. #44241C2semidirect
17. #42961C2semidirect
18. #42883C2semidirect
19. #42858C2semidirect
20. #42483C2semidirect
21. #40948C2semidirect
22. #39888C2semidirect
23. #39212C2semidirect
24. #39059C2semidirect
25. #37683C2semidirect
26. #37450C2semidirect
27. #36029C2semidirect
28. #35704C2semidirect
29. #35633C2semidirect
30. C2×#550C22semidirect
31. C2×#550C22semidirect
32. C2×#550C22semidirect
33. C2×#548C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
36. C2×#536C22semidirect
37. C2×#532C22semidirect
41. C2×#520C22semidirect
42. #2854C22semidirect
43. #2850C22semidirect
44. #2832C22semidirect
45. #2830C22semidirect
46. #2828C22semidirect
47. #2825C22semidirect
48. #2825C22semidirect
51. #2815C22semidirect
52. #2815C22semidirect
53. #2813C22semidirect
54. #2812C22semidirect
55. #2800C22semidirect
56. #2797C22semidirect
57. #2797C22semidirect
58. #2787C22semidirect
59. #2784C22semidirect
60. #2784C22semidirect
61. #2780C22semidirect
62. #2779C22semidirect
63. #2778C22semidirect
64. #2777C22semidirect
65. #2772C22semidirect
66. #2771C22semidirect
67. #2770C22semidirect
68. #2760C22semidirect
69. #2760C22semidirect
70. #2757C22semidirect
71. #2756C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2752C22semidirect
75. #2750C22semidirect
76. #2750C22semidirect
77. #2749C22semidirect
78. #2740C22semidirect
79. #2739C22semidirect
81. #2733C22semidirect
82. #2730C22semidirect
83. #2728C22semidirect
84. #2708C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2701C22semidirect
91. #2699C22semidirect
93. #2693C22semidirect
94. #2688C22semidirect
95. #2682C22semidirect
96. #2682C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2671C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
114. #2668C22semidirect
115. #2657C22semidirect
116. #2653C22semidirect
117. #2652C22semidirect
118. #2649C22semidirect
119. #2648C22semidirect
120. #2644C22semidirect
121. #2635C22semidirect
122. #2635C22semidirect
123. #2630C22semidirect
127. #2619C22semidirect
130. #2617C22semidirect
131. #2615C22semidirect
132. #2602C22semidirect
133. #2602C22semidirect
134. #2600C22semidirect
135. #2595C22semidirect
136. #2592C22semidirect
137. #2591C22semidirect
138. #2581C22semidirect
139. #2578C22semidirect
140. #2576C22semidirect
141. #2572C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2545C22semidirect
145. #2544C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
150. #2535C22semidirect
151. #2535C22semidirect
152. #2535C22semidirect
155. #2534C22semidirect
156. #2518C22semidirect
157. #2518C22semidirect
158. #2514C22semidirect
159. #2508C22semidirect
162. #2495C22semidirect
163. #2494C22semidirect
164. #2486C22semidirect
165. #2486C22semidirect
166. #2476C22semidirect
167. #2472C22semidirect
168. #2464C22semidirect
169. #2464C22semidirect
170. #2463C22semidirect
171. #2463C22semidirect
172. #2457C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2455C22semidirect
178. #2448C22semidirect
179. #2447C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2443C22semidirect
183. #2437C22semidirect
184. #2436C22semidirect
185. #2435C22semidirect
189. #2433C22semidirect
190. #2432C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
203. #2427C22semidirect
204. #2427C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2421C22semidirect
211. #2420C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
219. #2414C22semidirect
224. #2407C22semidirect
225. #2406C22semidirect
226. #2404C22semidirect
229. #2401C22semidirect
230. #2398C22semidirect
231. #2396C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
234. #2388C22semidirect
235. #2380C22semidirect
236. #2367C22semidirect
237. #2363C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
241. #2358C22semidirect
242. #2358C22semidirect
243. #2357C22semidirect
244. #2351C22semidirect
245. #2341C22semidirect
247. #2333C22semidirect
248. #2327C22semidirect
249. #2321C22semidirect
250. #2319C22semidirect
251. #2316C22semidirect
252. #2310C22semidirect
253. C4×#123C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
257. #2290C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#591292
#590032
#589962
#572132
#566612
#550522
#549832
#549492
#530002
#529662
#522442
#493762
#484542
#455932
#451942
#442412
#429612
#428832
#428582
#424832
#409482
#398882
#392122
#390592
#376832
#374502
#360292
#357042
#356332